[01048] Analysis of a Poisson–Nernst–Planck–Fermi model for ion transport in biological channels and nanopores
Session Time & Room : 1D (Aug.21, 15:30-17:10) @A208
Type : Contributed Talk
Abstract : We analyse a Poisson-Nernst-Planck-Fermi model to describe the evolution of a mixture of finite size ions in liquid electrolytes, which move through biological membranes or nanopores. The global-in-time existence of bounded weak solutions and the weak-strong uniqueness result are proved, via entropy and relative entropy, respectively. Furthermore, an implicit Euler finite-volume scheme for the model is analysed and some simulations are shown.
